question_answer

If the line \[2x+y=k\] passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals :   AIEEE  Solved  Paper-2012

A) \[\frac{29}{5}\]                                    

B) 5

C) 6                                                

D) \[\frac{11}{5}\]

Correct Answer: C

Solution :

                     \[\therefore \]     \[C\left( \frac{8}{5},\frac{14}{5} \right)\] Line \[2x+y=k\] passes \[C\left( \frac{8}{5},\frac{14}{5} \right)\] \[\frac{2\times 8}{5}+\frac{14}{5}=k\] \[k=6\]